Step 1: Understand the Order of Operations
In mathematics, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step 2: Break Down the Expression
The expression we need to evaluate is:
124 + 346 ÷ 8 + 90 × 21 + 64
Step 3: Perform Division and Multiplication First
- First, we divide 346 by 8:
- 346 ÷ 8 = 43.25
- Next, we calculate 90 times 21:
- 90 × 21 = 1890
Step 4: Substitute Back into the Expression
Now substitute the results back into the expression:
124 + 43.25 + 1890 + 64
Step 5: Perform Addition from Left to Right
Now, we will add the numbers in sequence:
- First, add 124 and 43.25:
- 124 + 43.25 = 167.25
- Then add 1890:
- 167.25 + 1890 = 2057.25
- Finally, add 64:
- 2057.25 + 64 = 2121.25
Final Result
The final result of the expression 124 + 346 ÷ 8 + 90 × 21 + 64 is 2121.25.
This step-by-step approach ensures accuracy and helps in understanding the importance of the order of operations.